The number 10889
10889 is a twin prime (10889 and 10891 are both prime) and the 1324th prime number. Its only divisors are 1 and 10889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10889: a twin prime (10889 and 10891 are both prime); the 1324th prime number.
- 2
10889 is prime, so its only factors are 1 and 10889. It is the 1324th prime; the next prime is 10891 and the one before is 10883.
- 3
The divisors add up to 10890; without 10889 itself that is 1, so 10889 is deficient (1 is less than 10889). Euler's totient φ(10889) = 10888 numbers up to 10889 share no factor with it.
- 4
The digits of 10889 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
10889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10890 |
| Euler totient φ(n) | 10888 |
| Square | 118570321 |
| Cube | 1291112225369 |
| Square root | 104.350371 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 161 |
| Scientific notation | 1.0889 × |
10889 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and eighty-nine |
| Binary (base 2) | 10101010001001 |
| Octal (base 8) | 25211 |
| Hexadecimal (base 16) | 2A89 |
| Base 3 | 112221022 |
| As time | 10889 seconds = 3 h 1 min 29 s |
Is 10889 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10889 a prime number?
Yes. 10889 is divisible only by 1 and itself.
What are the factors of 10889?
1, 10889.
What is 10889 in binary?
10101010001001 (hexadecimal 2A89, octal 25211).
What is the square root of 10889?
About 104.3504.
Is 10889 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 10889?
10889 is a twin prime (10889 and 10891 are both prime); the 1324th prime number.